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Anindita Saha Grade: 12
        

In what direction a line be drawn through the point (1,2) so that its point of intersection with the line x+y=4 is at a distance


(root 6/3) from the given point.


A. 75 degree                              B.60 degree


C. 45 degree                              D.30 degree

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Anindita


let parametric form of line


x=1+ √6/3 cosθ


y=2+√6/3 sin θ


if this line cut the given line


then


 1+ √6/3 cosθ  +  2+√6/3 sin θ =4


 √6/3 (cosθ  +  sin θ)=1


 sin (θ+45) =Sin60


 so  θ+45 =60   or 120


or    θ  =15 or  75




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Badiuddin

7 years ago
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